A stone tied to 180 cm long string at its end is making 28 revolutions in a horizontal circle every minute. The magnitude of acceleration of stone is 1936/x m s⁻². The value of x is ______. [Take π = 22/7]
Physics · Circular Motion
JEE Mains 30 January 2023 Shift 2 Evening Shift

Question

A stone tied to 180 cm long string at its end is making 28 revolutions in a horizontal circle every minute. The magnitude of acceleration of stone is 1936/x m s⁻². The value of x is ______. [Take π = 22/7]

Physics · Circular Motion

G1 Physics · Accepted Answer

Angular speed ω = 28×2π/60 rad s⁻¹. Centripetal acceleration a = ω²R with R=1.8 m. Using π=22/7 gives a = (1936/125) m s⁻². Hence x=125.